The research of delay differential equation is very important in theory and in practice.
这篇文章的主要目的是研究时滞对种群生长的作用。
In this paper, we discuss uniform boundedness and uniform ultimate boundedness of differential systems with infinite delay.
研究了非线性无穷时滞微分系统解的一致有界性和一致最终有界性。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established. The results generalize and improve some known ones.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。推广和改进了已知的一些结果。
The oscillation of a class of second order strongly sublinear delay differential equations is discussed. Three new theorems are established.
讨论了一类二阶强次线性时滞微分方程解的振动性质，建立了三个新的振动性定理。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
One of them is piecewise continuous argument delay differential equation, simply called EPCA.
其中第一类为分段连续的时滞微分方程，简称为epca。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
Some general theorems are available about the existence and global continuation of periodic solutions in symmetric delay differential equations.
关于对称时滞微分方程中的周期解的存在性和全局持续存在性，现在已有一些一般性的理论。
Electrical power, changing with differential group delay (DGD) and detected from an optical communication link, can be used as feedback signals of compensating for PMD.
光纤通信线路检测到的电功率随差分群延迟变化，可以作为PMD补偿的反馈控制信号。
Sufficient conditions for boundedness of solutions of nonlinear delay differential equations with impulses are established by using impulsive integral inequalities with a deviation.
利用时滞脉冲积分不等式，给出了一类非线性的脉冲时滞微分方程的解有界性的充分条件。
The alternating direction difference method for the two-dimensional nonlinear delay parabolic differential equation is given.
研究二维非线性延迟抛物型微分方程交替方向差分方法。
The time varying singular delay differential systems will be discussed.
本文将研究时变退化时滞微分系统。
The second is about delay dependent differential equation.
第二类为时滞依赖于状态的微分方程。
The neutral delay nonlinear hyperbolic differential equation is considered. A sufficient condition for the oscillation on the equations is obtained.
考虑一类中立型时滞双曲微分方程，得到了该方程振动的一个充分条件。
Som criteria on the asymptotic behavior (such as boundness, tending to zero) of solutions for a kind of third order delay functional differential equation are established.
本文讨论一类三阶时滞泛函微分方程解的渐近性质，给出了若干解的有界性及解趋于零的判定准则。
By applying a fixed point theorem, the authors study the existence of positive periodic solutions to a class of differential equations with stated-dependent delay.
运用不动点定理，研究一类具状态依赖时滞的微分方程周期正解的存在性。
It is important to know how does the degree of polarization (DOP) change with differential group delay (DGD) when DOP is feedback information for adaptive PMD compensation.
在用偏振度作为反馈信号的动态偏振模色散补偿系统中，偏振度与差分群延时的关系对于准确快速的动态偏振模色散补偿很重要。
Research is done on the robust stability of multi -delay differential systems of neutral type subject to norm -bounded parameter uncertainty that played important roles in the control theory.
针对控制系统中应用十分广泛的不确定性问题进行了研究，主要研究了含范数有界参数不确定性中立型多延迟微分系统的鲁棒稳定性。
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
本文给出了延迟微分方程数值解的稳定性分析。
The difficulty of solving PMD lies in its randomness of differential group delay (DGD) between the principal states of polarization (PSP) and the change.
PMD问题的最大困难在于差分群延迟(DGD)和偏振主态(PSP)变化的随机性。
This paper states the expressions of solution of some differential equations with delay.
给出了一类具有滞量的微分方程解的部分表达式。
A new magnetic field measurement based on the Faraday effect and the measurement of differential group delay (DGD) in fiber grating was proposed.
提出了一种利用光纤光栅中法拉第效应和测量差分群时延(DGD)的直接测量磁感应强度的新方法，给出了理论分析和实验结果。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
Global exponential stability theorems are given by using a method based on delay differential inequality.
在分析无条件全局指数稳定性时，我们将时滞微分不等式引入到稳定性的研究中。
So, it has a practical significance to study the character of solutions of either degenerate differential system with delay or impulsive differential equations with delays.
因此研究退化、脉冲时滞微分方程解的性态具有重要的现实意义。
The oscillatory criteria of even order nonlinear neutral delay differential equations are studied. The results obtained extend several results in known literature.
研究一类非线性的偶数阶中立型时滞微分方程，得到了该类方程解振动的几个新的判别准则，得到的结果推广了已有文献中的结果。
Considering a kind of neutral delay differential equations, a sufficient condition for the oscillation of all solutions of neutral delay differential equation in critical state is obtained.
讨论了一类中立型时滞微分方程所有解的振动性，获得了临界状态下该方程所有解振动的一个充分条件。
We study the oscillation of solutions for a class of even order nonlinear neutral functional differential equations with continuous distributed delay.
研究一类具有连续分布滞量的偶数阶非线性中立型泛函微分方程解的振动性，得到了该类方程的若干新的振动准则。
In the paper, several numerical methods based on the models of delay differential equations and partial delay differential equations are constructed.
本论文以延迟常微分方程和延迟偏微分方程为模型构造了一些数值方法，并对每一个数值方法都进行了理论分析。
This paper establishes a delay differential inequality with varying coefficient and varying delay.
本文首先建立一个变系数变时滞微分不等式。
应用推荐